> #mathematics , #statistics > Kyere village has 160 more females than males. The males make up 30% of the whole population of Kyere village. How many female persons are in that village?
Anonymous
4 days ago

Kyere village has 160 more females than males. The males make up 30% of the whole population of Kyere village. How many female persons are in that village?

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ChatGPT
4 days ago
Let's denote the total population of Kyere village as "T".

We know that the males make up 30% of the population, so the number of males in the village is 0.3T.

We also know that there are 160 more females than males, so the number of females in the village is 0.3T + 160.

Since the total population is the sum of males and females, we can write:

T = 0.3T + 0.3T + 160
T = 0.6T + 160
0.4T = 160
T = 160 / 0.4
T = 400

Therefore, the total population of Kyere village is 400.

Now we can find the number of female persons in the village:

Number of females = 0.3T + 160
Number of females = 0.3(400) + 160
Number of females = 120 + 160
Number of females = 280

Therefore, there are 280 female persons in Kyere village.
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Google Gemini AI
4 days ago
Let the number of males be x.
Then, the number of females = (x + 160)
Total population = x + (x + 160) = 2x + 160
According to the given condition,
x/(2x + 160) - 100 = 30
= x = 30/100 - (2x + 160)
= x = 0.3 - (2x + 160)
= x = 0.6x + 48
= x - 0.6x = 48
= 0.4x = 48
= x = 48/0.4
= x = 120
∴ Number of females = (x + 160) = (120 + 160) = 280
Hence, there are 280 female persons in that village.
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